In article <do0lb9$415$1 at smc.vnet.net>, Pratik Desai <pdesai1 at umbc.edu>
wrote:
> >In article <dnrcfl$khv$1 at smc.vnet.net>, Pratik Desai <pdesai1 at umbc.edu>
> >wrote:
> >
> >>To state the obvious, in general roots of analytic functions are hard to
> >>find. I had the misfoutune to come across a nasty complex trancendental
> >>equation. I found this Fortran Code ZEAL (Zeros of Analytic Functions)
> >>quite invaluable. Needless to say, Solve, Reduce did not help much.
> >>http://cpc.cs.qub.ac.uk/summaries/ADKW_v1_0.html
> >>
> >>A Mathematica implimentation of this software would come a long way in
> >>helping us poor engineers deal with such trancendental equations. The
> >>system that I was dealing with has obvious practical significance, the
> >>only hinderance being the lack of tools such as root solvers such as
> >>ZEAL. Any takers??
> >>
> >>PS: Zeal not only can find the zeros of f(z) but also gives one the
> >>values for f(z) with high degre of precision
> >
> >Have a look at the RootSearch package by Ted Ersek:
> >
> > http://library.wolfram.com/infocenter/MathSource/4482/
> >
> >
> Thanks Paul
> I did try it out once. But I was under the impression it only dealt with
> algebraics and reals, not analytic functions?
You are correct. In TMJ 6.1, Stan Wagon wrote a note about using
ContourPlot to find the roots of two equations in two unknowns over a
rectangular interval. This could be used to find the roots of analytic
functions. See
http://physics.uwa.edu.au/pub/Mathematica/MathGroup/RectangularRoots.nb
Cheers,
Paul
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